1. S

    manipulating differential operator

    How does the top of part B become the bottom of part B?
  2. W

    Convergence in a normed vector space - Linear operator

    Having X a normed vector space. If f is a linear operator from X to ℝ and is not continuous in 0 (element of X) , how can we show that there exists a sequence xn that converges to 0 for which we have f(xn) = 1 (for all n element of ℕ). Any help would be greatly appreciated, thank you.
  3. P

    Form of an operator

    Please help with this problem. Let x be a vector in a three-dimensional space R^3 and c be a constant vector and let A be an operator acting on R^3 with values ​​in R^3, then I'm looking for the form of the operator A such that A(x + c) = c + A^2(x) Thank you for your reply.
  4. E

    what this operator stands for ?

    Hello, can't find this operator on wikipedia. It has < on top and under it is _ Thanks.
  5. P

    Operator Fundamental solution

  6. X

    Functional analysis Linear bdd operator helppppppp

    Let A:X \to l^\infty be a linear bounded operator from a normed space X to l^\infty . Show that there is a bounded sequence of bounded functionals \{f_n\}_{n=1}^{\infty} \subset X' such that Ax=(f_n(x))_{n=1}^{\infty}. Moreover, \|A\|=sup\|f_n\|
  7. W

    Inverse problem of covariance matrix – diagonalization of Hermitian operator

    (I had posted the question elsewhere but got no reply) I have understood the two things respectively: 1. Use a set of observations to construct a covariance matrix, and then compute the eigenvectors of the matrix. 2. The diagonalization the Hermitian operator $A=PGP^T$. The columns of $P$ are...
  8. M

    closed operator

    can someone please help me to prove taht the following operator is closed: D(A) = W2,2(Rn) = H2(Rn) and Au = −∆u, ∀u ∈ H2(Rn) thanks in advance
  9. A

    Using 2's complement to explain operator precedence

    I'm refreshing my knowledge on binary math and specifically two's complements. Using this post I've successfully recalled how to use two's compliment to generate the binary representation of negative of a number e.g. -15 is 11110001 Now I'm required to explain how to use two's complement...
  10. opentojoin

    relationship operator

    Hi there, I have come across a notation that I cannot break, I hope you might help me The notation is Pg:Pcr:Pm=1:S:1-s I know that they are that one term is directly proportional to other how would I write in other way, maybe more meaningful?
  11. E

    self- adjoint operator of R3

    3 ) Find a self- adjoint operator of R3 that preserves the space generated by the vector ( 1,2,3).
  12. S

    Fourier Integral Operator

    Hi everybody! I'm studying the Fourier integral operators but I can't resolve a pass. I'm considering the following operator: $Au(x)=\frac{1}{{(2\pi h)}^{n'}}\int_{\mathbb{R}_y^m\times\mathbb{R}_{\theta}^{n'}} e^{i\Psi(x,y,\theta)/h}a(x,y,\theta,h)u(y)\, dy\, d\theta$ where $Au\in C^0...
  13. B

    NAND is not a quantum operator, but 3 of them on 3 bit vars is

    The most misunderstood thing about time is, when we look at small things they move between past and future as if time was a kind of space, but at larger sizes its much harder to unburn a pile of ashes back into a log, yet this does happen as we see in trees grown from ancient ashes in the...
  14. D

    about functions and modulo operator

    Hi i HAVE A TABLE: n | f(n) 1 | 6 2 | 7 3 | 6 4 | 7 5 | 6 How can I express this with a mod operator? f(n) = n mod what? Is it possible? Thanks
  15. S

    Fourier integral operator

    Hi! I have a question for you. At the end of the post there's a link. There's the homework which I have to do for an exam. I have to study the Fourier Integral Operator that there is at the begin of the paper. I did almost all the homework but I can't do a couple of things. First: at the point...
  16. raul21

    A linear operator

    Given the mapping $L$:$M_2(R)$->$M_3(R)$, $L(X) = A^T X B - B^T X^T A$, where $A$ = $$ \begin{bmatrix} 1 & 2 & \ -1 \\ \\ 2 & 1 & \ 0 \end{bmatrix}$$, $B$ = $$ \begin{bmatrix} 1 & -1 & \ 1 \\ \\ 1 & 0 & \ -1 \end{bmatrix}$$. Prove that $L$ is a linear operator. Determine its...
  17. S

    self-adjoint operator

    Hi, T is a self-adjoint Operator on a vector space V. I have to Show that: T^2=0 \Rightarrow T=0 ... my first idea was to argue with the Eigenvalues, because if \lambda is Eigenvalue of T then \lambda^2 is Eigenvalue of T^2 is that a possible way, because it seams a little bit...
  18. B

    what is the difference between self-adjoint operator and hermite matrix?

    I know self-adjoint operator <Ax,y>=<x,A*y> But i can't find if the self-adjoint operator can only used as hermite matrix. what's the difference between them
  19. B

    what is the difference between hermite operator and hermite matrix?

    I know self-adjoint operator <Ax,y>=<x,A*y> But i can't find if the self-adjoint operator can only used as hermite matrix. what's the difference between them